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Finding the Fourth Proportional to 217.91, 327.06 and 180.24

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Solution

The fourth proportional to 217.91, 327.06 and 180.24 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.91 : 327.06 = 180.24 : x
  2. Step 2: Convert to fraction form
    217.91/327.06 = 180.24/x
  3. Step 3: Cross multiply
    217.91x = 327.06 × 180.24
  4. Step 4: Simplify right side
    217.91x = 58,949.29
  5. Step 5: Solve for x
    x = 58,949.29/217.91
  6. Step 6: Final answer
    x = 270.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.